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Finding the Fourth Proportional to 2,550.86, 3,809.01 and 2,024.96

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Solution

The fourth proportional to 2,550.86, 3,809.01 and 2,024.96 is: 3,023.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.86 : 3,809.01 = 2,024.96 : x
  2. Step 2: Convert to fraction form
    2,550.86/3,809.01 = 2,024.96/x
  3. Step 3: Cross multiply
    2,550.86x = 3,809.01 × 2,024.96
  4. Step 4: Simplify right side
    2,550.86x = 7,713,073.84
  5. Step 5: Solve for x
    x = 7,713,073.84/2,550.86
  6. Step 6: Final answer
    x = 3,023.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.